We're dividing 586209 by 10 
The aim is to understand the frequency of 10 in 586209.

Advancing to step 1:
5 divided by 10 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 10

Advancing to step 2:
If we divide 58 by 10, we get 5 and a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 50 from 58, we get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 10

On to step 3:
If we divide 86 by 10, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 58.0
If we take 80 away from 86, we end up with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 10

Step 4:
10 goes into 62 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 586.0
Subtracting 60 from 62 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 10

Advancing to step 5:
When dividing 20 by 10, we get 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 5862.0
If we subtract 20 from 20, we get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 10

Step 6:
9 divided by 10 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 58620.0
The remainder is 9 after subtracting 0 from 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
The number 10 fits into 90 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 58620.9
Subtract 90 from 90 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 10, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 58620.9
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 10, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 58620.9
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 58620.9 and a remainder of 0.0.